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Finding the Fourth Proportional to 202.78, 304.23 and 72.77

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Solution

The fourth proportional to 202.78, 304.23 and 72.77 is: 109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 304.23 = 72.77 : x
  2. Step 2: Convert to fraction form
    202.78/304.23 = 72.77/x
  3. Step 3: Cross multiply
    202.78x = 304.23 × 72.77
  4. Step 4: Simplify right side
    202.78x = 22,138.82
  5. Step 5: Solve for x
    x = 22,138.82/202.78
  6. Step 6: Final answer
    x = 109.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.